Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

String, Byteland county is very famous for luminous jewels. Luminous jewels...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Pragma, How to specify different memory sections for a variable using #Prag...

How to specify different memory sections for a variable using #Pragma?

Algorithem, algorithem of compound interest

algorithem of compound interest

Define the recursion function in c, Define the Recursion Function in C? ...

Define the Recursion Function in C? In C, it is potential for the function to call themselves a function is describing 'recursive' if a statement within the body of a function

Shell sort - c program, Shell sort - C Program: Write a program to def...

Shell sort - C Program: Write a program to define shell sort. void main() {                  //program for sorting by select sort int a[20],i,k,j,n;   clrscr();

#title, Given an integer n and a permutation of numbers 1, 2 ... , n-1, n w...

Given an integer n and a permutation of numbers 1, 2 ... , n-1, n write a program to print the permutation that lexicographically precedes the given input permutation. If the given

Constructor and destructor function with derived classes, Constructor and D...

Constructor and Destructor function with derived classes If there are constructors included in the base class and the derived class, the compiler automatically calls both of th

Return values, What is the purpose of return values? Can you not return any...

What is the purpose of return values? Can you not return any values from a function? If you could what would he function look like?

Area under curve, Write a program to find the area under the curve y = f(x)...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Assignment, Design a black box suit for function whether a character or st...

Design a black box suit for function whether a character or string up to 25 characters

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd